Adsorption and desorption in confined geometries: a discrete hopping model

TL;DR

This paper presents a discrete hopping model to analyze adsorption and desorption kinetics of interacting particles in confined one-dimensional geometries, providing analytical solutions for various system sizes and revealing the influence of concentration-dependent diffusion.

Contribution

It introduces a novel discrete hopping model for confined geometries and derives analytical solutions for transport and self-diffusion in these systems.

Findings

Adsorption and desorption rates differ significantly.

Transport diffusion is strongly concentration-dependent.

Analytical solutions are obtained for systems of length 1, 2, and zero-range processes.

Abstract

We study the adsorption and desorption kinetics of interacting particles moving on a one-dimensional lattice. Confinement is introduced by limiting the number of particles on a lattice site. Adsorption and desorption are found to proceed at different rates, and are strongly influenced by the concentration-dependent transport diffusion. Analytical solutions for the transport and self-diffusion are given for systems of length 1 and 2 and for a zero-range process. In the last situation the self- and transport diffusion can be calculated analytically for any length.